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Finding the Fourth Proportional to 5,785.56, 7,983.72 and 3,547.44

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Solution

The fourth proportional to 5,785.56, 7,983.72 and 3,547.44 is: 4,895.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,785.56 : 7,983.72 = 3,547.44 : x
  2. Step 2: Convert to fraction form
    5,785.56/7,983.72 = 3,547.44/x
  3. Step 3: Cross multiply
    5,785.56x = 7,983.72 × 3,547.44
  4. Step 4: Simplify right side
    5,785.56x = 28,321,767.68
  5. Step 5: Solve for x
    x = 28,321,767.68/5,785.56
  6. Step 6: Final answer
    x = 4,895.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.